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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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An example of ill-conditioning in the numerical solution of singular perturbation problems
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by Fred W. Dorr PDF
Math. Comp. 25 (1971), 271-283 Request permission

Abstract:

The use of finite-difference methods is considered for solving a singular perturbation problem for a linear ordinary differential equation with an interior turning point. Computational results demonstrate that such problems can lead to very ill-conditioned matrix equations.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 271-283
  • MSC: Primary 65L05
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0297142-0
  • MathSciNet review: 0297142